Question: A mandatory competency test for high school sophomores has a normal distribution with a mean of 380 and a standard deviation of 145. (a) The

A mandatory competency test for high school sophomores has a normal distribution with a mean of 380 and a standard deviation of 145.

(a) The top 4% of the students receive $500. What is the minimum score (cut score) you would need to receive this award?

(b) The Bottom 3% of the students must go to summer school. What is the minimum score (cut score) you would need to stay out of this group?

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